4109
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4704
- Proper Divisor Sum (Aliquot Sum)
- 595
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3516
- Möbius Function
- 1
- Radical
- 4109
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 38
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = n*(3*n^2 - 1)/2.at n=14A004188
- a(n) = 2^n + n + 1.at n=12A005126
- a(n) = floor(tau*a(n-1)) + floor(tau*a(n-2)) with a(0)=1 and a(1)=3.at n=10A005913
- Number of points on surface of square pyramid: 3*n^2 + 2 (n>0).at n=37A005918
- Bisection of A001400.at n=39A014125
- Numbers k such that the continued fraction for sqrt(k) has period 48.at n=30A020387
- Convolution of composite numbers and odd numbers.at n=17A023650
- Number of nonisomorphic and nonantiisomorphic reflexive transitive and cotransitive (complement is transitive) relations.at n=11A030270
- Numerators of continued fraction convergents to sqrt(311).at n=7A041586
- Numerators of continued fraction convergents to sqrt(969).at n=5A042874
- Numbers having three 5's in base 9.at n=23A043475
- Numbers k such that the string 0,9 occurs in the base 10 representation of k but not of k-1.at n=44A044341
- Numbers having, in base 16, (sum of even run lengths)=(sum of odd run lengths).at n=12A044887
- Numbers whose base-4 representation contains exactly four 0's and two 1's.at n=8A045035
- Numbers whose base-4 representation contains exactly four 0's and no 2's.at n=24A045057
- Numbers whose base-4 representation contains exactly four 0's and one 3.at n=23A045082
- Numbers whose base-5 representation contains exactly three 1's and two 4's.at n=29A045261
- a(n) = Sum_{i=0..n} T(i,n-i), array T as in A049735.at n=12A049736
- a(n)=T(n,n+3), array T as in A049735.at n=24A049743
- a(n)=T(n,3), array T as in A049735.at n=36A049746